Samenvatting
This paper presents bounds for the best approximation, with respect to the Hausdorff metric, of a
convex body K by a circumscribed polytope P with a given number of facets. These bounds are of particular
interest if K is elongated. To measure the elongation of the convex set, its isoperimetric ratio Vj(K)1/j Vi(K)−1/i
is used.
convex body K by a circumscribed polytope P with a given number of facets. These bounds are of particular
interest if K is elongated. To measure the elongation of the convex set, its isoperimetric ratio Vj(K)1/j Vi(K)−1/i
is used.
Originele taal-2 | English |
---|---|
Pagina's (van-tot) | 105-114 |
Aantal pagina's | 9 |
Tijdschrift | Advances in Geometry |
Volume | 18 |
Nummer van het tijdschrift | 1 |
DOI's | |
Status | Published - 2018 |
Extern gepubliceerd | Ja |